No, Teysa will survive in general, because generally, damage creatures would deal to Teysa is prevented, so that combat damage by creatures it blocks will be prevented (C.R. 701.16e).
If it doesn't, how can it be killed?
Teysa can still be destroyed (not: killed) or otherwise leave the battlefield, including by damage from noncreature sources such as spells (e.g., Lightning Bolt [C.R. 115.4]). In fact, Teysa can still be destroyed by abilities of creatures as long as they don't target Teysa (an example is found in Magus of the Disk) (C.R. 702.16, especially C.R. 702.16b).
If it doesn't, how can it be killed?
Teysa can still be destroyed (not: killed) or otherwise leave the battlefield, including by damage from noncreature sources such as spells (e.g., Lightning Bolt [C.R. 115.4]). In fact, Teysa can still be destroyed by abilities of creatures as long as they don't target Teysa (an example is found in Magus of the Disk) (C.R. 702.16, especially C.R. 702.16b).